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Simplifying 3(x + -3) + 5 = 4(x + -2) + -10 Reorder the terms: 3(-3 + x) + 5 = 4(x + -2) + -10 (-3 * 3 + x * 3) + 5 = 4(x + -2) + -10 (-9 + 3x) + 5 = 4(x + -2) + -10 Reorder the terms: -9 + 5 + 3x = 4(x + -2) + -10 Combine like terms: -9 + 5 = -4 -4 + 3x = 4(x + -2) + -10 Reorder the terms: -4 + 3x = 4(-2 + x) + -10 -4 + 3x = (-2 * 4 + x * 4) + -10 -4 + 3x = (-8 + 4x) + -10 Reorder the terms: -4 + 3x = -8 + -10 + 4x Combine like terms: -8 + -10 = -18 -4 + 3x = -18 + 4x Solving -4 + 3x = -18 + 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. -4 + 3x + -4x = -18 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -18 + 0 -4 + -1x = -18 Add '4' to each side of the equation. -4 + 4 + -1x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -18 + 4 -1x = -18 + 4 Combine like terms: -18 + 4 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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