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Simplifying 2(x + -4) + -3(x + -7) = 4x + 5 Reorder the terms: 2(-4 + x) + -3(x + -7) = 4x + 5 (-4 * 2 + x * 2) + -3(x + -7) = 4x + 5 (-8 + 2x) + -3(x + -7) = 4x + 5 Reorder the terms: -8 + 2x + -3(-7 + x) = 4x + 5 -8 + 2x + (-7 * -3 + x * -3) = 4x + 5 -8 + 2x + (21 + -3x) = 4x + 5 Reorder the terms: -8 + 21 + 2x + -3x = 4x + 5 Combine like terms: -8 + 21 = 13 13 + 2x + -3x = 4x + 5 Combine like terms: 2x + -3x = -1x 13 + -1x = 4x + 5 Reorder the terms: 13 + -1x = 5 + 4x Solving 13 + -1x = 5 + 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. 13 + -1x + -4x = 5 + 4x + -4x Combine like terms: -1x + -4x = -5x 13 + -5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -5x = 5 + 0 13 + -5x = 5 Add '-13' to each side of the equation. 13 + -13 + -5x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 5 + -13 -5x = 5 + -13 Combine like terms: 5 + -13 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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