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Simplifying 5(3x + -2) + -6(8x + -13) + -13x = 16(8 + -3x) + -62 Reorder the terms: 5(-2 + 3x) + -6(8x + -13) + -13x = 16(8 + -3x) + -62 (-2 * 5 + 3x * 5) + -6(8x + -13) + -13x = 16(8 + -3x) + -62 (-10 + 15x) + -6(8x + -13) + -13x = 16(8 + -3x) + -62 Reorder the terms: -10 + 15x + -6(-13 + 8x) + -13x = 16(8 + -3x) + -62 -10 + 15x + (-13 * -6 + 8x * -6) + -13x = 16(8 + -3x) + -62 -10 + 15x + (78 + -48x) + -13x = 16(8 + -3x) + -62 Reorder the terms: -10 + 78 + 15x + -48x + -13x = 16(8 + -3x) + -62 Combine like terms: -10 + 78 = 68 68 + 15x + -48x + -13x = 16(8 + -3x) + -62 Combine like terms: 15x + -48x = -33x 68 + -33x + -13x = 16(8 + -3x) + -62 Combine like terms: -33x + -13x = -46x 68 + -46x = 16(8 + -3x) + -62 68 + -46x = (8 * 16 + -3x * 16) + -62 68 + -46x = (128 + -48x) + -62 Reorder the terms: 68 + -46x = 128 + -62 + -48x Combine like terms: 128 + -62 = 66 68 + -46x = 66 + -48x Solving 68 + -46x = 66 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 68 + -46x + 48x = 66 + -48x + 48x Combine like terms: -46x + 48x = 2x 68 + 2x = 66 + -48x + 48x Combine like terms: -48x + 48x = 0 68 + 2x = 66 + 0 68 + 2x = 66 Add '-68' to each side of the equation. 68 + -68 + 2x = 66 + -68 Combine like terms: 68 + -68 = 0 0 + 2x = 66 + -68 2x = 66 + -68 Combine like terms: 66 + -68 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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