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Simplifying 4x + 5(3 + -2x) + 12x + 3 = 6(x + 2) + -15x + 9 4x + (3 * 5 + -2x * 5) + 12x + 3 = 6(x + 2) + -15x + 9 4x + (15 + -10x) + 12x + 3 = 6(x + 2) + -15x + 9 Reorder the terms: 15 + 3 + 4x + -10x + 12x = 6(x + 2) + -15x + 9 Combine like terms: 15 + 3 = 18 18 + 4x + -10x + 12x = 6(x + 2) + -15x + 9 Combine like terms: 4x + -10x = -6x 18 + -6x + 12x = 6(x + 2) + -15x + 9 Combine like terms: -6x + 12x = 6x 18 + 6x = 6(x + 2) + -15x + 9 Reorder the terms: 18 + 6x = 6(2 + x) + -15x + 9 18 + 6x = (2 * 6 + x * 6) + -15x + 9 18 + 6x = (12 + 6x) + -15x + 9 Reorder the terms: 18 + 6x = 12 + 9 + 6x + -15x Combine like terms: 12 + 9 = 21 18 + 6x = 21 + 6x + -15x Combine like terms: 6x + -15x = -9x 18 + 6x = 21 + -9x Solving 18 + 6x = 21 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 18 + 6x + 9x = 21 + -9x + 9x Combine like terms: 6x + 9x = 15x 18 + 15x = 21 + -9x + 9x Combine like terms: -9x + 9x = 0 18 + 15x = 21 + 0 18 + 15x = 21 Add '-18' to each side of the equation. 18 + -18 + 15x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 15x = 21 + -18 15x = 21 + -18 Combine like terms: 21 + -18 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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