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Simplifying 5(3x + -2) = 4(4x + -3) Reorder the terms: 5(-2 + 3x) = 4(4x + -3) (-2 * 5 + 3x * 5) = 4(4x + -3) (-10 + 15x) = 4(4x + -3) Reorder the terms: -10 + 15x = 4(-3 + 4x) -10 + 15x = (-3 * 4 + 4x * 4) -10 + 15x = (-12 + 16x) Solving -10 + 15x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 15x + -16x = -12 + 16x + -16x Combine like terms: 15x + -16x = -1x -10 + -1x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -1x = -12 + 0 -10 + -1x = -12 Add '10' to each side of the equation. -10 + 10 + -1x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -12 + 10 -1x = -12 + 10 Combine like terms: -12 + 10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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