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Simplifying 5(x + -8) + -3x = 4(x + -4) + -2 Reorder the terms: 5(-8 + x) + -3x = 4(x + -4) + -2 (-8 * 5 + x * 5) + -3x = 4(x + -4) + -2 (-40 + 5x) + -3x = 4(x + -4) + -2 Combine like terms: 5x + -3x = 2x -40 + 2x = 4(x + -4) + -2 Reorder the terms: -40 + 2x = 4(-4 + x) + -2 -40 + 2x = (-4 * 4 + x * 4) + -2 -40 + 2x = (-16 + 4x) + -2 Reorder the terms: -40 + 2x = -16 + -2 + 4x Combine like terms: -16 + -2 = -18 -40 + 2x = -18 + 4x Solving -40 + 2x = -18 + 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. -40 + 2x + -4x = -18 + 4x + -4x Combine like terms: 2x + -4x = -2x -40 + -2x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + -2x = -18 + 0 -40 + -2x = -18 Add '40' to each side of the equation. -40 + 40 + -2x = -18 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -18 + 40 -2x = -18 + 40 Combine like terms: -18 + 40 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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