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Simplifying 3(x + -1) + 7 = (2x + 1) * 8 Reorder the terms: 3(-1 + x) + 7 = (2x + 1) * 8 (-1 * 3 + x * 3) + 7 = (2x + 1) * 8 (-3 + 3x) + 7 = (2x + 1) * 8 Reorder the terms: -3 + 7 + 3x = (2x + 1) * 8 Combine like terms: -3 + 7 = 4 4 + 3x = (2x + 1) * 8 Reorder the terms: 4 + 3x = (1 + 2x) * 8 Reorder the terms for easier multiplication: 4 + 3x = 8(1 + 2x) 4 + 3x = (1 * 8 + 2x * 8) 4 + 3x = (8 + 16x) Solving 4 + 3x = 8 + 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. 4 + 3x + -16x = 8 + 16x + -16x Combine like terms: 3x + -16x = -13x 4 + -13x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -13x = 8 + 0 4 + -13x = 8 Add '-4' to each side of the equation. 4 + -4 + -13x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 8 + -4 -13x = 8 + -4 Combine like terms: 8 + -4 = 4 -13x = 4 Divide each side by '-13'. x = -0.3076923077 Simplifying x = -0.3076923077
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