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Simplifying 15(2x + 1) + -2 = (-2x + 8) + -4 Reorder the terms: 15(1 + 2x) + -2 = (-2x + 8) + -4 (1 * 15 + 2x * 15) + -2 = (-2x + 8) + -4 (15 + 30x) + -2 = (-2x + 8) + -4 Reorder the terms: 15 + -2 + 30x = (-2x + 8) + -4 Combine like terms: 15 + -2 = 13 13 + 30x = (-2x + 8) + -4 Reorder the terms: 13 + 30x = (8 + -2x) + -4 Remove parenthesis around (8 + -2x) 13 + 30x = 8 + -2x + -4 Reorder the terms: 13 + 30x = 8 + -4 + -2x Combine like terms: 8 + -4 = 4 13 + 30x = 4 + -2x Solving 13 + 30x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 30x + 2x = 4 + -2x + 2x Combine like terms: 30x + 2x = 32x 13 + 32x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 32x = 4 + 0 13 + 32x = 4 Add '-13' to each side of the equation. 13 + -13 + 32x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 32x = 4 + -13 32x = 4 + -13 Combine like terms: 4 + -13 = -9 32x = -9 Divide each side by '32'. x = -0.28125 Simplifying x = -0.28125
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