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Simplifying 2x + -3(x + -2) + 7 = 4(x + -3) + 10 Reorder the terms: 2x + -3(-2 + x) + 7 = 4(x + -3) + 10 2x + (-2 * -3 + x * -3) + 7 = 4(x + -3) + 10 2x + (6 + -3x) + 7 = 4(x + -3) + 10 Reorder the terms: 6 + 7 + 2x + -3x = 4(x + -3) + 10 Combine like terms: 6 + 7 = 13 13 + 2x + -3x = 4(x + -3) + 10 Combine like terms: 2x + -3x = -1x 13 + -1x = 4(x + -3) + 10 Reorder the terms: 13 + -1x = 4(-3 + x) + 10 13 + -1x = (-3 * 4 + x * 4) + 10 13 + -1x = (-12 + 4x) + 10 Reorder the terms: 13 + -1x = -12 + 10 + 4x Combine like terms: -12 + 10 = -2 13 + -1x = -2 + 4x Solving 13 + -1x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -1x + -4x = -2 + 4x + -4x Combine like terms: -1x + -4x = -5x 13 + -5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -5x = -2 + 0 13 + -5x = -2 Add '-13' to each side of the equation. 13 + -13 + -5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -2 + -13 -5x = -2 + -13 Combine like terms: -2 + -13 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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