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Simplifying 10(x + -4) + -2(x + -7) + 10 = -4 Reorder the terms: 10(-4 + x) + -2(x + -7) + 10 = -4 (-4 * 10 + x * 10) + -2(x + -7) + 10 = -4 (-40 + 10x) + -2(x + -7) + 10 = -4 Reorder the terms: -40 + 10x + -2(-7 + x) + 10 = -4 -40 + 10x + (-7 * -2 + x * -2) + 10 = -4 -40 + 10x + (14 + -2x) + 10 = -4 Reorder the terms: -40 + 14 + 10 + 10x + -2x = -4 Combine like terms: -40 + 14 = -26 -26 + 10 + 10x + -2x = -4 Combine like terms: -26 + 10 = -16 -16 + 10x + -2x = -4 Combine like terms: 10x + -2x = 8x -16 + 8x = -4 Solving -16 + 8x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = -4 + 16 8x = -4 + 16 Combine like terms: -4 + 16 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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