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Simplifying 15(x + 1) + -3 = 2x + 4(x + -2) Reorder the terms: 15(1 + x) + -3 = 2x + 4(x + -2) (1 * 15 + x * 15) + -3 = 2x + 4(x + -2) (15 + 15x) + -3 = 2x + 4(x + -2) Reorder the terms: 15 + -3 + 15x = 2x + 4(x + -2) Combine like terms: 15 + -3 = 12 12 + 15x = 2x + 4(x + -2) Reorder the terms: 12 + 15x = 2x + 4(-2 + x) 12 + 15x = 2x + (-2 * 4 + x * 4) 12 + 15x = 2x + (-8 + 4x) Reorder the terms: 12 + 15x = -8 + 2x + 4x Combine like terms: 2x + 4x = 6x 12 + 15x = -8 + 6x Solving 12 + 15x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 15x + -6x = -8 + 6x + -6x Combine like terms: 15x + -6x = 9x 12 + 9x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 9x = -8 + 0 12 + 9x = -8 Add '-12' to each side of the equation. 12 + -12 + 9x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -8 + -12 9x = -8 + -12 Combine like terms: -8 + -12 = -20 9x = -20 Divide each side by '9'. x = -2.222222222 Simplifying x = -2.222222222
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