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Simplifying 5x + -2(x + 6) + 2 = 4(x + -2) + 13 Reorder the terms: 5x + -2(6 + x) + 2 = 4(x + -2) + 13 5x + (6 * -2 + x * -2) + 2 = 4(x + -2) + 13 5x + (-12 + -2x) + 2 = 4(x + -2) + 13 Reorder the terms: -12 + 2 + 5x + -2x = 4(x + -2) + 13 Combine like terms: -12 + 2 = -10 -10 + 5x + -2x = 4(x + -2) + 13 Combine like terms: 5x + -2x = 3x -10 + 3x = 4(x + -2) + 13 Reorder the terms: -10 + 3x = 4(-2 + x) + 13 -10 + 3x = (-2 * 4 + x * 4) + 13 -10 + 3x = (-8 + 4x) + 13 Reorder the terms: -10 + 3x = -8 + 13 + 4x Combine like terms: -8 + 13 = 5 -10 + 3x = 5 + 4x Solving -10 + 3x = 5 + 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. -10 + 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = 5 + 0 -10 + -1x = 5 Add '10' to each side of the equation. -10 + 10 + -1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 5 + 10 -1x = 5 + 10 Combine like terms: 5 + 10 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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