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Simplifying x + 7 = 4(4x + -2) Reorder the terms: 7 + x = 4(4x + -2) Reorder the terms: 7 + x = 4(-2 + 4x) 7 + x = (-2 * 4 + 4x * 4) 7 + x = (-8 + 16x) Solving 7 + x = -8 + 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. 7 + x + -16x = -8 + 16x + -16x Combine like terms: x + -16x = -15x 7 + -15x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -15x = -8 + 0 7 + -15x = -8 Add '-7' to each side of the equation. 7 + -7 + -15x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = -8 + -7 -15x = -8 + -7 Combine like terms: -8 + -7 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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