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Simplifying 38 + 6x = 8(2x + -4) Reorder the terms: 38 + 6x = 8(-4 + 2x) 38 + 6x = (-4 * 8 + 2x * 8) 38 + 6x = (-32 + 16x) Solving 38 + 6x = -32 + 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. 38 + 6x + -16x = -32 + 16x + -16x Combine like terms: 6x + -16x = -10x 38 + -10x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -10x = -32 + 0 38 + -10x = -32 Add '-38' to each side of the equation. 38 + -38 + -10x = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -32 + -38 -10x = -32 + -38 Combine like terms: -32 + -38 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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