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Simplifying -0.9x + 3(x + -4) = 10(x + -5) + 7 Reorder the terms: -0.9x + 3(-4 + x) = 10(x + -5) + 7 -0.9x + (-4 * 3 + x * 3) = 10(x + -5) + 7 -0.9x + (-12 + 3x) = 10(x + -5) + 7 Reorder the terms: -12 + -0.9x + 3x = 10(x + -5) + 7 Combine like terms: -0.9x + 3x = 2.1x -12 + 2.1x = 10(x + -5) + 7 Reorder the terms: -12 + 2.1x = 10(-5 + x) + 7 -12 + 2.1x = (-5 * 10 + x * 10) + 7 -12 + 2.1x = (-50 + 10x) + 7 Reorder the terms: -12 + 2.1x = -50 + 7 + 10x Combine like terms: -50 + 7 = -43 -12 + 2.1x = -43 + 10x Solving -12 + 2.1x = -43 + 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. -12 + 2.1x + -10x = -43 + 10x + -10x Combine like terms: 2.1x + -10x = -7.9x -12 + -7.9x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -7.9x = -43 + 0 -12 + -7.9x = -43 Add '12' to each side of the equation. -12 + 12 + -7.9x = -43 + 12 Combine like terms: -12 + 12 = 0 0 + -7.9x = -43 + 12 -7.9x = -43 + 12 Combine like terms: -43 + 12 = -31 -7.9x = -31 Divide each side by '-7.9'. x = 3.924050633 Simplifying x = 3.924050633
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