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Simplifying 6(x + -2) + 3(8 + -7x) = -16(x + 1) + -1 Reorder the terms: 6(-2 + x) + 3(8 + -7x) = -16(x + 1) + -1 (-2 * 6 + x * 6) + 3(8 + -7x) = -16(x + 1) + -1 (-12 + 6x) + 3(8 + -7x) = -16(x + 1) + -1 -12 + 6x + (8 * 3 + -7x * 3) = -16(x + 1) + -1 -12 + 6x + (24 + -21x) = -16(x + 1) + -1 Reorder the terms: -12 + 24 + 6x + -21x = -16(x + 1) + -1 Combine like terms: -12 + 24 = 12 12 + 6x + -21x = -16(x + 1) + -1 Combine like terms: 6x + -21x = -15x 12 + -15x = -16(x + 1) + -1 Reorder the terms: 12 + -15x = -16(1 + x) + -1 12 + -15x = (1 * -16 + x * -16) + -1 12 + -15x = (-16 + -16x) + -1 Reorder the terms: 12 + -15x = -16 + -1 + -16x Combine like terms: -16 + -1 = -17 12 + -15x = -17 + -16x Solving 12 + -15x = -17 + -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. 12 + -15x + 16x = -17 + -16x + 16x Combine like terms: -15x + 16x = 1x 12 + 1x = -17 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 1x = -17 + 0 12 + 1x = -17 Add '-12' to each side of the equation. 12 + -12 + 1x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -17 + -12 1x = -17 + -12 Combine like terms: -17 + -12 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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