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Simplifying 16 + -5(3x + -4) = 8(11 + -2x) Reorder the terms: 16 + -5(-4 + 3x) = 8(11 + -2x) 16 + (-4 * -5 + 3x * -5) = 8(11 + -2x) 16 + (20 + -15x) = 8(11 + -2x) Combine like terms: 16 + 20 = 36 36 + -15x = 8(11 + -2x) 36 + -15x = (11 * 8 + -2x * 8) 36 + -15x = (88 + -16x) Solving 36 + -15x = 88 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 36 + -15x + 16x = 88 + -16x + 16x Combine like terms: -15x + 16x = 1x 36 + 1x = 88 + -16x + 16x Combine like terms: -16x + 16x = 0 36 + 1x = 88 + 0 36 + 1x = 88 Add '-36' to each side of the equation. 36 + -36 + 1x = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 88 + -36 1x = 88 + -36 Combine like terms: 88 + -36 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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