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Simplifying 4(x + -1) + -1(2x) = 10(x + -2) + 4 Reorder the terms: 4(-1 + x) + -1(2x) = 10(x + -2) + 4 (-1 * 4 + x * 4) + -1(2x) = 10(x + -2) + 4 (-4 + 4x) + -1(2x) = 10(x + -2) + 4 Remove parenthesis around (2x) -4 + 4x + -1 * 2x = 10(x + -2) + 4 Multiply -1 * 2 -4 + 4x + -2x = 10(x + -2) + 4 Combine like terms: 4x + -2x = 2x -4 + 2x = 10(x + -2) + 4 Reorder the terms: -4 + 2x = 10(-2 + x) + 4 -4 + 2x = (-2 * 10 + x * 10) + 4 -4 + 2x = (-20 + 10x) + 4 Reorder the terms: -4 + 2x = -20 + 4 + 10x Combine like terms: -20 + 4 = -16 -4 + 2x = -16 + 10x Solving -4 + 2x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 2x + -10x = -16 + 10x + -10x Combine like terms: 2x + -10x = -8x -4 + -8x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -8x = -16 + 0 -4 + -8x = -16 Add '4' to each side of the equation. -4 + 4 + -8x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -16 + 4 -8x = -16 + 4 Combine like terms: -16 + 4 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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