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Simplifying 4(x + -3) = 7.5(3 + -2x) Reorder the terms: 4(-3 + x) = 7.5(3 + -2x) (-3 * 4 + x * 4) = 7.5(3 + -2x) (-12 + 4x) = 7.5(3 + -2x) -12 + 4x = (3 * 7.5 + -2x * 7.5) -12 + 4x = (22.5 + -15x) Solving -12 + 4x = 22.5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12 + 4x + 15x = 22.5 + -15x + 15x Combine like terms: 4x + 15x = 19x -12 + 19x = 22.5 + -15x + 15x Combine like terms: -15x + 15x = 0 -12 + 19x = 22.5 + 0 -12 + 19x = 22.5 Add '12' to each side of the equation. -12 + 12 + 19x = 22.5 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = 22.5 + 12 19x = 22.5 + 12 Combine like terms: 22.5 + 12 = 34.5 19x = 34.5 Divide each side by '19'. x = 1.815789474 Simplifying x = 1.815789474
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