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Simplifying -4(x + 5) + 6x = 3(x + -10) Reorder the terms: -4(5 + x) + 6x = 3(x + -10) (5 * -4 + x * -4) + 6x = 3(x + -10) (-20 + -4x) + 6x = 3(x + -10) Combine like terms: -4x + 6x = 2x -20 + 2x = 3(x + -10) Reorder the terms: -20 + 2x = 3(-10 + x) -20 + 2x = (-10 * 3 + x * 3) -20 + 2x = (-30 + 3x) Solving -20 + 2x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 2x + -3x = -30 + 3x + -3x Combine like terms: 2x + -3x = -1x -20 + -1x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -1x = -30 + 0 -20 + -1x = -30 Add '20' to each side of the equation. -20 + 20 + -1x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -30 + 20 -1x = -30 + 20 Combine like terms: -30 + 20 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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