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Simplifying 4(2x + -3) + 2 = 10(x + 3) + -11 Reorder the terms: 4(-3 + 2x) + 2 = 10(x + 3) + -11 (-3 * 4 + 2x * 4) + 2 = 10(x + 3) + -11 (-12 + 8x) + 2 = 10(x + 3) + -11 Reorder the terms: -12 + 2 + 8x = 10(x + 3) + -11 Combine like terms: -12 + 2 = -10 -10 + 8x = 10(x + 3) + -11 Reorder the terms: -10 + 8x = 10(3 + x) + -11 -10 + 8x = (3 * 10 + x * 10) + -11 -10 + 8x = (30 + 10x) + -11 Reorder the terms: -10 + 8x = 30 + -11 + 10x Combine like terms: 30 + -11 = 19 -10 + 8x = 19 + 10x Solving -10 + 8x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 8x + -10x = 19 + 10x + -10x Combine like terms: 8x + -10x = -2x -10 + -2x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -2x = 19 + 0 -10 + -2x = 19 Add '10' to each side of the equation. -10 + 10 + -2x = 19 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 19 + 10 -2x = 19 + 10 Combine like terms: 19 + 10 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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