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Simplifying -3(2x + -10) + 8 = 4(x + -3) Reorder the terms: -3(-10 + 2x) + 8 = 4(x + -3) (-10 * -3 + 2x * -3) + 8 = 4(x + -3) (30 + -6x) + 8 = 4(x + -3) Reorder the terms: 30 + 8 + -6x = 4(x + -3) Combine like terms: 30 + 8 = 38 38 + -6x = 4(x + -3) Reorder the terms: 38 + -6x = 4(-3 + x) 38 + -6x = (-3 * 4 + x * 4) 38 + -6x = (-12 + 4x) Solving 38 + -6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 38 + -6x + -4x = -12 + 4x + -4x Combine like terms: -6x + -4x = -10x 38 + -10x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 38 + -10x = -12 + 0 38 + -10x = -12 Add '-38' to each side of the equation. 38 + -38 + -10x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -12 + -38 -10x = -12 + -38 Combine like terms: -12 + -38 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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