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Simplifying 2.25 + 4(x + -1) = 3.11 + -1(x + -7x) + 1 Reorder the terms: 2.25 + 4(-1 + x) = 3.11 + -1(x + -7x) + 1 2.25 + (-1 * 4 + x * 4) = 3.11 + -1(x + -7x) + 1 2.25 + (-4 + 4x) = 3.11 + -1(x + -7x) + 1 Combine like terms: 2.25 + -4 = -1.75 -1.75 + 4x = 3.11 + -1(x + -7x) + 1 Combine like terms: x + -7x = -6x -1.75 + 4x = 3.11 + -1(-6x) + 1 Remove parenthesis around (-6x) -1.75 + 4x = 3.11 + -1 * -6x + 1 Multiply -1 * -6 -1.75 + 4x = 3.11 + 6x + 1 Reorder the terms: -1.75 + 4x = 3.11 + 1 + 6x Combine like terms: 3.11 + 1 = 4.11 -1.75 + 4x = 4.11 + 6x Solving -1.75 + 4x = 4.11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1.75 + 4x + -6x = 4.11 + 6x + -6x Combine like terms: 4x + -6x = -2x -1.75 + -2x = 4.11 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.75 + -2x = 4.11 + 0 -1.75 + -2x = 4.11 Add '1.75' to each side of the equation. -1.75 + 1.75 + -2x = 4.11 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -2x = 4.11 + 1.75 -2x = 4.11 + 1.75 Combine like terms: 4.11 + 1.75 = 5.86 -2x = 5.86 Divide each side by '-2'. x = -2.93 Simplifying x = -2.93
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