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Simplifying 3(2x + -7) + 4 = 2(x + 1) + -15 Reorder the terms: 3(-7 + 2x) + 4 = 2(x + 1) + -15 (-7 * 3 + 2x * 3) + 4 = 2(x + 1) + -15 (-21 + 6x) + 4 = 2(x + 1) + -15 Reorder the terms: -21 + 4 + 6x = 2(x + 1) + -15 Combine like terms: -21 + 4 = -17 -17 + 6x = 2(x + 1) + -15 Reorder the terms: -17 + 6x = 2(1 + x) + -15 -17 + 6x = (1 * 2 + x * 2) + -15 -17 + 6x = (2 + 2x) + -15 Reorder the terms: -17 + 6x = 2 + -15 + 2x Combine like terms: 2 + -15 = -13 -17 + 6x = -13 + 2x Solving -17 + 6x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 6x + -2x = -13 + 2x + -2x Combine like terms: 6x + -2x = 4x -17 + 4x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 4x = -13 + 0 -17 + 4x = -13 Add '17' to each side of the equation. -17 + 17 + 4x = -13 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -13 + 17 4x = -13 + 17 Combine like terms: -13 + 17 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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