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Simplifying 2x + 7 = 35 + -2x(1dp) Reorder the terms: 7 + 2x = 35 + -2x(1dp) Remove parenthesis around (1dp) 7 + 2x = 35 + -2x * 1dp Reorder the terms for easier multiplication: 7 + 2x = 35 + -2 * 1x * dp Multiply -2 * 1 7 + 2x = 35 + -2x * dp Multiply x * dp 7 + 2x = 35 + -2dpx Solving 7 + 2x = 35 + -2dpx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2dpx' to each side of the equation. 7 + 2dpx + 2x = 35 + -2dpx + 2dpx Combine like terms: -2dpx + 2dpx = 0 7 + 2dpx + 2x = 35 + 0 7 + 2dpx + 2x = 35 Add '-7' to each side of the equation. 7 + 2dpx + -7 + 2x = 35 + -7 Reorder the terms: 7 + -7 + 2dpx + 2x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 2dpx + 2x = 35 + -7 2dpx + 2x = 35 + -7 Combine like terms: 35 + -7 = 28 2dpx + 2x = 28 Reorder the terms: -28 + 2dpx + 2x = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 2dpx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + dpx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + dpx + x)' equal to zero and attempt to solve: Simplifying -14 + dpx + x = 0 Solving -14 + dpx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + dpx + 14 + x = 0 + 14 Reorder the terms: -14 + 14 + dpx + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + dpx + x = 0 + 14 dpx + x = 0 + 14 Combine like terms: 0 + 14 = 14 dpx + x = 14 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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